I have moved 7 times with my cats, and what has helped is time off work to be with them (if you can swing it). I was getting really good at moving, and had a routine. My cats were always the last thing to move (and litter boxes, food & water bowls), and I had already set up all my furniture at the new place before they got there.

The worst was when the carpet cleaners came shortly after I had moved my cats - they were supposed to do it before I moved in! I had to put my 2 displaced cats into a strange bedroom and keep them there until the carpets dried - they were not happy and neither was I.

I never had a big problem after moving - once my RB cat Boo peed in a box of magazines (this was at the carpet cleaning disaster condo, shortly after) but overall they adjusted very well to all my moves.